I have one or two more thoughts...
I'm sticking with my earlier comments and would encourage selling the BB234 and upgrading to something better- unless it's needed for a "backup". The BB234 is a nice instrument considering its price point. But it is designed for people who aren't looking for a particular sound.
It's kind of amazing how much strings can influence the sound of a bass. Anecdote: In 2017 I purchased a Yamaha TRBX 605. It came with the standard, basic D'Addario strings that one might expect. I almost sent it back, Sweetwater already having sent me the return label. But just for giggles, I wanted to see what it sounded like with different strings. So I installed a set of DR Pure Blues. It turned my head around and with the box and lable all ready- I kept the bass. With this bass I the strings that satisfied me the most were the Ernie Ball Cobalt Flats to get the sounds I wanted. Sadly, EBCF's in a 5 string set are almost $70! I still have them on my P bass and Ibanez fretless.
Setup: Again, with the TRBX605 the PICKUP HEIGHT was key and critical to the sound the bass produced. Obviously this was a very sensitive bass, but I learned a lot from trying to get the sounds that I found acceptable.
EQ capabilities: I love my P bass, It's very easy to dial in a sound on a gig if I'm not looking for a particular one. Blends easily. Has good "beef". BUT IT IS LIMITED on its own. The volume control can do a little toward altering the sound if dialed back, with the amp compensating for the needed volume. And the tone control can only roll off the highs. What I run with (and recommend) is an EQ/DI box. I personally use a Fishman Platinum Pro EQ/DI. Another is the LR Baggs Venue DI. I like the Fishman because it has a toggle that can target bass, and it has a compression dial. Not cheap. Probably in the price range of the BB234. Alternatively, a Graphic Equalizer pedal may help dial in what is needed. [I can't believe how the price of pedals has skyrocketed over the past few years!] In my early playing days (coming back from a long layoff), I purchased a Behringer BEQ700, now selling for $32, though most quality brand names go for $130+. [FWIW, I bought quite a few Behringer pedals back in the day, used them a lot. And while they are plastic, I haven't been able to break or destroy any of them.
Perhaps my ear isn't good enough to "dial in" any particular sound, but I when I get with any of my groups, for me, it's better to find the sound that best fits within the sound space of the ensemble, rather than trying to mimic a sound that is on a recording. JMO . Just sayin'.