In terms of burning bridges, too late to think about that now. I have already been twice and won, this one seems clearest of them all.
The only thing clear is that you've taken cases before and won.
Your motivations, which others have speculated upon, seem unclear.
Your intention in seeking teaching work seems at odd with the desires of any other teacher I have met, vocation notwithstanding.
Most relish the thought of reduced teaching hours to allow them carry out the necessary research to continue their CPD and accreditation process.
I echo the comments of Diziet.
My own professional situation has echoes of your present position and I looked long and hard at preparing a High Court action to move obstacles out of my way.
I found that such a strategy would ultimately prove very costly in terms of time, money and lowering the professional standing of my profession through internal wrangling.
Diziet's advice to you is not unlike the course I have steered since, one which I have found to be very rewarding thus far in terms of personal development and qualifications.
This may not suit you, and you have every right to stand up for what you believe it right, but you can get stuck in a litigious rut as opposed to moving past the current impediment in other ways.
If you keep on the route you suggest, litigation, then notwithstanding the protection afforded to you by European and Irish Employment Law, you may end up becoming someone people would prefer not to employ.