I've just got hold of an old Nexus 7 2013 2nd gen., running 6.0.1 Marshmallow. After resetting, the Play Store downloads updates, and I can install the latest version of Firefox and the last version of Opera for Marshmallow (72). Chrome only updates to 95. Everything I've read suggests I can run 106, and I can certainly sideload later versions.
Why would Chrome stop at 95? Is there any way get it to update without resorting to sideloading? If you've got the same tablet running the stock OS, what version of Chrome did you stop on?