TITLE: Filtered 2-colimits commute with finite 2-limits
QUESTION [8 upvotes]: Is there an explicit proof anywhere in the literature that filtered 2-colimits commute with finite 2-limits (all meant in the weak bicategorical sense) in the 2-category of groupoids?  I have only been able to find a handful of papers about filtered 2-colimits, notably Dubuc and Street's A construction of 2-filtered bicolimits of categories, and have not found this result in any of them.
Of course one could try to deduce this from $\infty$-categorical results, but the latter proofs are also often sketchy, and in the case of groupoids it ought to be possible to give a concrete constructive proof.

REPLY [8 votes]: Two relevant papers are:

Dupont's Interchange of filtered 2-colimits and finite 2-limits.
Canevali's 2-filtered bicolimits and finite weighted bilimits commute in Cat.

The former proves that finite conical pseudolimits and filtered pseudolimits commute in $\mathbf{Cat}$; whereas the latter proves the analagous result for finite weighted bilimits and filtered bicolimits.
It may be that these are enough to recover commutivity in $\mathbf{Grpd}$ for the cases in which you are interested.