Allege has 3 different meanings across 1 category:
Verb
report or maintain
"He alleged that he was the victim of a crime"
"He said it was too late to intervene in the war"
"The registrar says that I owe the school money"
To state under oath, to plead.
To lighten, diminish.
The word "allege" comes from Middle English and likely entered the language via Old French or Anglo-Norman. Its original meaning was to send on a mission or depute someone, derived from Latin roots related to sending and relating facts.