I suspect you would struggle to cool and dehumidify the room with the windows open, assuming a session averaged 250W, the AC would need to be doing about 1KW of work, plus condensing 2-3l of water an hour.
The solution to your problem is bigger fans. This time of year its 5C outside, no portable domestic AC unit is going to get anywhere near that.
My turbo is setup in the conservatory, with a big 18″ floor fan and the door open it’s comfortable (but still sweaty). Might try seting the fan up at the door end (tv and turbo is at the other) and set it up blowing a tailwind of cool air into the room rather than as a headwind just stirring it up.