bbduk, from BBTools:

https://jgi.doe.gov/data-and-tools/bbtools/

You may be able to specify/add and adaptors file

You can use Trimmomatic

http://www.usadellab.org/cms/?page=trimmomatic

You can use Cutadapt to remove specific adapter sequences as you can include the sequence of the adapter of interest that you want to remove in the command as follows:

-a ADAPTER, --adapter=ADAPTER

Sequence of an adapter ligated to the 3' end (paired

data: of the first read). The adapter and subsequent

bases are trimmed.

-g ADAPTER, --front=ADAPTER

Sequence of an adapter ligated to the 5' end (paired

data: of the first read). The adapter and any

preceding bases are trimmed. Partial matches at the 5'

end are allowed.

-b ADAPTER, --anywhere=ADAPTER

Sequence of an adapter that may be ligated to the 5'

or 3' end (paired data: of the first read). Both types

of matches as described under -a und -g are allowed.

If the first base of the read is part of the match,

the behavior is as with -g, otherwise as with -a. This

option is mostly for rescuing failed library

preparations - do not use if you know which end your

adapter was ligated to!

and here's its documentation: https://cutadapt.readthedocs.io/en/stable/