That sounds like you may want to be half-pedalling in those types of passages.
It's possible your pedal doesn't allow to emulate it well. (not sure what pedal you use, but it might be only an on/off switch? instead of a graduated type allowing readings from theoretically 0 to 127 back to 0 as you depress and release it.)
If I only want a blush of sustain, by pressing the pedal only slightly down, then releasing it quickly, that can paint in a lot of character between staccato notes without maximally sustaining notes which can bloom too much into the following notes. It's part of the benefit of how real grand pianos and Pianoteq work well for pianists - but may require a pedal which can facilitate this.
Your pedal may be capable though, so also, take a look at the small box on the main Pianoteq interface (velocity pane) and click on the arrows to reveal the 'sustain pedal' pane.. perhaps you can change the line there, so you might be able to make your pedal behaviour suit better how you use it. For some pieces I like a steep line (closer to on/off) and sometimes a more gradual curve across with a high jump up nearer the end.. and all kinds of shapes in between. You can become accustomed to this with a little time experimenting.
Like IRL, every piano will be different to any others when we sit at them.. and you may want to play a piano a while before a recital for example.. to adjust how you'd compensate your playing to suit the way the piano reacts. Pianoteq gives us the choice to alter any piano to be like any we'd dream of - and save our presets, so we don't have to do the same again once satisfied
Also, you could go into the 'Action' (button on lower right pane) settings 'Damper duration' and maybe also 'Damper position' and alter those damper sliders, to make dampers a little more efficient, or looser.
An abrupt pedal with strong dampers can be great for staccato, but with looser dampers less pedalling may be desired (as you may hear enough of every lingering last note - no extra sustain bloom may be needed to gain the effect you wish from your performance). Balancing these kinds of things is ideal for ending up with a fav piano or piano types for certain repertoires.
Always with a nice piano IRL, it might be wanting a technician to free up dampers, or make them more abrupt.. maybe that's the best other way to alter how your pedal reacts in Pianoteq.. and hopefully either of these things can make your piano sing better for your piece and playing.
Hope this helps James.
Pianoteq Studio Bundle (Pro plus all instruments) - Kawai MP11 digital piano - Yamaha HS8 monitors