On your TT the shower and toilet are in same room with toilet close to shower
So water puddle shows up W/O using shower but when flushing toilet
Toilet inlet water supply would leak whether toilet was flushed or not
Toilet 'Vacuum Breaker' can leak when flushing. It is a small plastic container at top of toilet (backside)
Supply water goes to it and then from it to toilet bowl
When supply water goes in the flapper closes off the small hole at top of container
When toilet water valve closes the water in the vacuum breaker flows down into bowl...that is where the sealing water in bowl comes from
If Flapper doesn't close...water can leak out thru that hole at top, run down backside of toilet and cause a puddle
wrap TP around toilet water inlet fittings, around inlet valve and lay some pieces of TP around base of toilet
Flush/use toilet then check for wet TP