I'm sorry, what?
Do I understand this correctly, we connect our wallet to your platform through MM --or whatever-- when we click "free pat" button, we paid an ETH fee to have 100 PAT sent to a burn address instead to our wallet?
"free pat" button is a giveaway and will simply give you 100 PAT. If you want to deposit to earn 10,000x profits, you click "deposit" button, which will burn your PAT tokens and document your deposit on blockchain.