[WIP] Fix undefined variable $app_name in bundle.ps1

[Copilot]

Thanks for asking me to work on this. I will get started on it and keep this PR's description up to date as I form a plan and make progress.

Original prompt

Please apply the following diffs and create a pull request.
Once the PR is ready, give it a title based on the messages of the fixes being applied.

[{"message":"Variable `$app_name` is used before it is defined. At this point in the script, `$APP_NAME` (uppercase) is not yet set. This line should be moved to after line 119 where `$APP_NAME` is properly defined based on the channel, or the variable reference should be removed if this assignment is intended to be overwritten later.","fixFiles":[{"filePath":"script/windows/bundle.ps1","diff":"diff --git a/script/windows/bundle.ps1 b/script/windows/bundle.ps1\n--- a/script/windows/bundle.ps1\n+++ b/script/windows/bundle.ps1\n@@ -79,7 +79,6 @@\n } else {\n     $CARGO_TARGET_OUTPUT_DIR = \"$CARGO_TARGET_DIR\" + '\\' + $PLATFORM_TARGET + '\\' + \"$CARGO_PROFILE\"\n }\n-$BUNDLE_ID = \"dev.castcodes.$app_name\"\n \n # Update parameters based on the target release channel.\n #\n"}]},{"message":"The variable `$BUNDLE_ID` is assigned twice in the script (lines 82 and 122). The first assignment on line 82 uses an undefined variable and should be removed to eliminate confusion and potential bugs.","fixFiles":[{"filePath":"script/windows/bundle.ps1","diff":"diff --git a/script/windows/bundle.ps1 b/script/windows/bundle.ps1\n--- a/script/windows/bundle.ps1\n+++ b/script/windows/bundle.ps1\n@@ -119,7 +119,7 @@\n }\n \n $BINARY_PATH = \"$CARGO_TARGET_OUTPUT_DIR\\$BINARY_NAME\"\n-$BUNDLE_ID = \"dev.castcodes.$APP_NAME\"\n+\n $INSTALLER_OUTPUT_DIR = \"$WINDOWS_INSTALLER_DIR\\Output\"\n $INSTALLER_NAME = \"$($APP_NAME)$($FILE_ENDING)\"\n $INSTALLER_PATH = \"$($INSTALLER_OUTPUT_DIR)\\$($INSTALLER_NAME).exe\"\n"}]}]

[BunsDev]

Superseded by #15 which implements all four fixes.