Searchable can be used without pagination, but reseting pagination
is more a function of search than pagination insofar as if you
add search to a page, you are also going to want automatic pagination
resetting.
This time around fuzzy, exact, and regex can all be toggled.
Additionally, each search type gets its own set of keys to search
for. This means fuzzy search can only look at name while regex and
exact match will still look at ID.