The cookies of Laravel do comply with GDPR, as no personal information is stored.
XSRF-TOKEN
That information is used to protect your site against Cross Site Request Forgery. A purely technical protection mechanism.
my_app_session
This hold information about the current session of the logged in user of your application. It is necessary to track it for again, purely technical reasons.
I can assure you that no personal information, that could be not compliant with GDPR are stored.
Storing data of users, might it be personal or not, is allowed if you can explain a legitimate interest in storing these. This is also explained in detail on the GDPR site
As these two tokens are created even in cmopletely new Laravel applications where no user data is present/stored, you can answer the question yourself, if any GDPR non-compliant data is stored ;-)
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