If I have Galarian Weezing with "Neutralizing Gas" active and my opponent brings up a Wobbuffet with "Bide Barrier" Ability, does "Bide Barrier" turn off "Neutralizing Gas" or vice versa?
Since Neutralizing Gas was in effect before Wobbuffet became active, it takes precedence and Bide Barricade does not activate as long as Neutralizing Gas is in effect. Whichever one comes into effect first would take priority in this situation.
Source: TPCi Rules Team (2022-03-31)

Relevant cards

Note: All applicable cards may not be listed below.
XY4_36
SWSH2_113
SWSH2_113