Where does AT breather go past the dipstick mount

You either have a clogged PCV system (positive crankcase ventilation) or you have a defective piston or piston ring.

You cannot its that simple ,dealer only ,although if you can find a breather then pour some in their but i a 97 model should have a dipstick and you pour it down this dipstick tube

CLOGGED CRANKCASE BREATHER. ALSO CHECK TO SEE IF THE PCV VALVE IS WORKING PROPERLY.

There must be a pressure relief valve block or breather valve has to be high oil pressure and it is venting through your dipstick. Lagging out could be blocked injector, worn spark plugs or other fuel starving.

Is your oil coming out of your dipstick?If it is ,its your engine not breathing!
Its an oil separator fault or oil breather system ,as we call it in Europe.Your breather is blocked .

Your engine breather system is blocked....this means that the only way that the compression caused on ignition that is getting past the piston rings and into the block can escape is via the dipstick tube.
Check breather for kinks and some have filters ensure that these are not blocked

If fluid is coming out the dipstick, it has to be over full. Usually, it will run out the breather first. If it hasn't been changed in the last 30 or 40,000 miles, change it or have it changed with the proper amount of fluid.

On top of the valve cover there is a fresh air breather unit. Make sure the breather unit is not plugged.
Also the fixed orifice PCV should be clear. Find a tool that will go through the orifice and make sure it is clean.
Remove the vacuum hose and check it for cracks or internal damage. With the engine running, make sure you have vacuum through the hose.
Let me know when your finished cleaning the crankcase breather system.
Regards,

Check the breather filter, a quick test is pull the oil dipstick and rev engine if oil rises up dipstick replace breather filter straight away as it will blow engine if not

Maybe the breather valve is obstructed (pinched) causing the pressure to build and seep at the dipstick?
run it once and before it overflows , pull the dipstick and see if it is foaming up ?