We had a similar lane in East Devon that got very deep at times.
Trail bikes managed it but walkers and horse/pushbike riders had trouble - so members of the Devon Group TRF took issue with it and made it passable for all.
We made an elevated path (on the left) and the puddle remained for the adventurers!
I'm glad you get out and enjoy your TTR, Peter. It is what they are made for.