Create a Free Twitter API v2 app. Use that to POST your tweets (free API allows tweet creation). Now you can do whatever you want with this tweet since you are

Create a Free Twitter API v2 app. Use that to POST your tweets (free API allows tweet creation). Now you can do whatever you want with this tweet since you are initiating from your own App. This will take care of all new tweets. For existing tweets, you could get an archive or pay $100/Month to extract everything through API and then cancel the subscription.