If recruiters will use AI to go through my CV and require a motivational letter, you bet-your-ass I'm using AI for the letter.
Every single job application can have the exact same motivational letter:
Dear Company,
Please hire me so that I may earn currency, that I can exchange for the goods and services required for my existence.
Sincerely,
Applicant
If you have a fediverse account, you can quote this note from your own instance. Search https://tech.lgbt/users/iamada/statuses/115954852542329069 on your instance and quote it. (Note that quoting is not supported in Mastodon.)