According to Lucene, it supports grouping via parenthesis: https://lucene.apache.org/core/2_9_4/queryparsersyntax.html

Lucene supports using parentheses to group clauses to form sub queries. This can be very useful if you want to control the boolean logic for a query.

To search for either "jakarta" or "apache" and "website" use the query:

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(jakarta OR apache) AND website

This eliminates any confusion and makes sure you that website must exist and either term jakarta or apache may exist.