may

may /ˈmeɪ/ verb
may
/ˈmeɪ/
verb
Britannica Dictionary definition of MAY
[modal verb]
1 
— used to indicate that something is possible or probable
2 
— used to say that one thing is true but something else is also true
3 
formal — used to indicate that something is allowed
— compare can 4b
4 
formal — used to ask a question or make a request in a polite way
— compare can 4a
5 
formal — used to express a wish
6 
formal — used to make a polite suggestion
7 
formal — used in various polite expressions with I
8 
formal + old-fashioned — used to indicate the reason for something or the purpose of something

be that as it may

formal
— used to introduce a statement that is somehow different from what has just been said