My Pixel 6a phone, running android version 13, was displaying sluggish response in the BridgePal app. For example, in the contract entry screen, tapping a key would result in a noticeable delay (less than one second) before the character was echoed to the display. I heard today from a contact that uninstalling updates to the Android System Webview component fixes this problem. I've tried it out and this solution works for my phone.
To uninstall updates, go to the Play Store and search for WebView. Scroll down the list and tap on "Android System Webview", and then on Uninstall. This will remove the updates and revert to the version of Android System Webview that was shipped with the android version that came with the device. Click on the menu at the top right of the Play Store entry and untick "Enable auto-update". This will disable future updates to the Webview app, but does not affect the auto-update status for other apps.
Note that if the BridgePal app is running it is necessay to exit the app and restart it in order for it to use the restored version of WebView.