tl;dr: The solution is that WGSSA is tabling. Those who are protesting are not doing so in the capacity of WGSSA.

For those not in the know, the student code (at least under the interpretation of student life) has a two-tiered system of rules. Students can protest without registering anything (and they can hand things out without registering anything), but when student groups try to do those things which students themselves are permitted to do, then you have to do all of this bullshit paperwork and registering beforehand. It really should be advertised alongside "benefits of being a student organization" that one of the drawbacks is that you literally lose freedoms that you have as a non-registered organization.

This is one of those ridiculous situations. As an individual student, the code says simply:

"Orderly picketing and other forms of peaceful expression
are permitted in public places on institution premises so
long as there is neither interference with ingress or egress at
institution facilities, interruption of classes, damage to
property, or disruption of the operation of the institution,
nor blocking vehicular or pedestrian traffic, unless such
traffic is diverted by previous arrangement with the
University Police Department."

This is literally the paragraph directly above where they setup completely different rules for student organizations.

So, if they are going to setup two-tiered rules, then I would simply setup a two-tiered event. Those tabling are WGSSA, those not tabling are students protesting in an unrelated fashion.

Also, protest is not defined in the student code either. What makes this a protest? It looks more like a party to me.