Inns of Court Dining

I've been comparing lunch arrangements for student members of each of the four Inns:

1. Lincoln's Inn - members of all Inns can go, and students don't have to pay the cover charge - https://www.lincolnsinn.org.uk/members/member-services/members-lunch/
2. Gray's Inn - it seems that members of all Inns can go, and students get a 20% discount - https://www.graysinn.org.uk/members/venue-hire/lunch-and-dining-in-hall/lunch-menu/

But I can't find any specific information for Inner or Middle Temple either to say that members of other Inns are entitled to eat there, nor that there are any reductions in price for students.

Anyone able to advise in more detail? If there are any students who have enjoyed lunch at all of the Inns I would be interested to hear your opinions as to which is best.

Thanks

Inner
https://www.innertemple.org.uk/membership-services-support/financial-support-members/student-pupil-discount/

Middle
https://www.middletemple.org.uk/lunch. I think Middle is open to the public, ie anyone anyway.

Lincoln's Inn is best