[UI tests] Add full UI test coverage for Peek based on release checklist (#40734)

<!-- Enter a brief description/summary of your PR here. What does it
fix/what does it change/how was it tested (even manually, if necessary)?
-->
## Summary of the Pull Request
Add full UI test coverage for Peek based on release checklist

### Peek
 * Open different files to check that they're shown properly
   - [x] Image
   - [x] Text or dev file
   - [x] Markdown file
   - [ ] PDF
   - [x] Archive files (.zip, .tar, .rar)
- [x] Any other not mentioned file (.exe for example) to verify the
unsupported file view is shown

 * Pinning/unpinning
- [x] Pin the window, switch between images of different size, verify
the window stays at the same place and the same size.
- [x] Pin the window, close and reopen Peek, verify the new window is
opened at the same place and the same size as before.
- [x] Unpin the window, switch to a different file, verify the window is
moved to the default place.
- [x] Unpin the window, close and reopen Peek, verify the new window is
opened on the default place.

* Open with a default program
   - [x] By clicking a button.
   - [x] By pressing enter. 

- [x] Switch between files in the folder using `LeftArrow` and
`RightArrow`, verify you can switch between all files in the folder.
- [x] Open multiple files, verify you can switch only between selected
files.

<img width="519" height="266" alt="image"
src="https://github.com/user-attachments/assets/f27c555d-9939-476f-9ecc-50d598285aef"
/>


<!-- Please review the items on the PR checklist before submitting-->
## PR Checklist

- [x] **Closes:**
#[40676](https://github.com/microsoft/PowerToys/issues/40676)
- [ ] **Communication:** I've discussed this with core contributors
already. If the work hasn't been agreed, this work might be rejected
- [ ] **Tests:** Added/updated and all pass
- [ ] **Localization:** All end-user-facing strings can be localized
- [ ] **Dev docs:** Added/updated
- [ ] **New binaries:** Added on the required places
- [ ] [JSON for
signing](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ESRPSigning_core.json)
for new binaries
- [ ] [WXS for
installer](https://github.com/microsoft/PowerToys/blob/main/installer/PowerToysSetup/Product.wxs)
for new binaries and localization folder
- [ ] [YML for CI
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ci/templates/build-powertoys-steps.yml)
for new test projects
- [ ] [YML for signed
pipeline](https://github.com/microsoft/PowerToys/blob/main/.pipelines/release.yml)
- [ ] **Documentation updated:** If checked, please file a pull request
on [our docs
repo](https://github.com/MicrosoftDocs/windows-uwp/tree/docs/hub/powertoys)
and link it here: #xxx

<!-- Provide a more detailed description of the PR, other things fixed,
or any additional comments/features here -->
## Detailed Description of the Pull Request / Additional comments

<!-- Describe how you validated the behavior. Add automated tests
wherever possible, but list manual validation steps taken as well -->
## Validation Steps Performed

src/common/UITestAutomation/SessionHelper.cs

@@ -91,15 +91,12 @@ namespace Microsoft.PowerToys.UITest
         }
 
         /// <summary>
-        /// Exit a exe.
+        /// Exit a exe by Name.
         /// </summary>
-        /// <param name="appPath">The path to the application executable.</param>
-        public void ExitExe(string appPath)
+        /// <param name="processName">The path to the application executable.</param>
+        public void ExitExeByName(string processName)
         {
-            // Exit Exe
-            string exeName = Path.GetFileNameWithoutExtension(appPath);
-
-            Process[] processes = Process.GetProcessesByName(exeName);
+            Process[] processes = Process.GetProcessesByName(processName);
             foreach (Process process in processes)
             {
                 try
@@ -114,6 +111,18 @@ namespace Microsoft.PowerToys.UITest
             }
         }
 
+        /// <summary>
+        /// Exit a exe.
+        /// </summary>
+        /// <param name="appPath">The path to the application executable.</param>
+        public void ExitExe(string appPath)
+        {
+            // Exit Exe
+            string exeName = Path.GetFileNameWithoutExtension(appPath);
+
+            ExitExeByName(exeName);
+        }
+
         /// <summary>
         /// Starts a new exe and takes control of it.
         /// </summary>
@@ -122,26 +131,34 @@ namespace Microsoft.PowerToys.UITest
         public void StartExe(string appPath, string[]? args = null)
         {
             var opts = new AppiumOptions();
-            opts.AddAdditionalCapability("app", appPath);
 
-            if (args != null && args.Length > 0)
+            if (scope == PowerToysModule.PowerToysSettings)
             {
-                // Build command line arguments string
-                string argsString = string.Join(" ", args.Select(arg =>
+                TryLaunchPowerToysSettings(opts);
+            }
+            else
+            {
+                opts.AddAdditionalCapability("app", appPath);
+
+                if (args != null && args.Length > 0)
                 {
-                    // Quote arguments that contain spaces
-                    if (arg.Contains(' '))
+                    // Build command line arguments string
+                    string argsString = string.Join(" ", args.Select(arg =>
                     {
-                        return $"\"{arg}\"";
-                    }
+                        // Quote arguments that contain spaces
+                        if (arg.Contains(' '))
+                        {
+                            return $"\"{arg}\"";
+                        }
 
-                    return arg;
-                }));
+                        return arg;
+                    }));
 
-                opts.AddAdditionalCapability("appArguments", argsString);
+                    opts.AddAdditionalCapability("appArguments", argsString);
+                }
             }
 
-            this.Driver = NewWindowsDriver(opts);
+            Driver = NewWindowsDriver(opts);
         }
 
         private void TryLaunchPowerToysSettings(AppiumOptions opts)
@@ -150,15 +167,18 @@ namespace Microsoft.PowerToys.UITest
 
             var runnerProcessInfo = new ProcessStartInfo
             {
-                FileName = locationPath + this.runnerPath,
+                FileName = locationPath + runnerPath,
                 Verb = "runas",
                 Arguments = "--open-settings",
             };
 
-            this.ExitExe(runnerProcessInfo.FileName);
-            this.runner = Process.Start(runnerProcessInfo);
+            ExitExe(runnerProcessInfo.FileName);
+            runner = Process.Start(runnerProcessInfo);
             Thread.Sleep(5000);
 
+            // Exit CmdPal UI before launching new process if use installer for test
+            ExitExeByName("Microsoft.CmdPal.UI");
+
             if (root != null)
             {
                 const int maxRetries = 5;
@@ -168,7 +188,7 @@ namespace Microsoft.PowerToys.UITest
                 for (int attempt = 1; attempt <= maxRetries; attempt++)
                 {
                     var settingsWindow = ApiHelper.FindDesktopWindowHandler(
-                        new[] { windowName, AdministratorPrefix + windowName });
+                        [windowName, AdministratorPrefix + windowName]);
 
                     if (settingsWindow.Count > 0)
                     {