How does a man in his forties or fifties learn to live with the fact he will never have sex for free with an attractive woman in his lifetime?
I mostly just want to answer your question and not lecture you on your ethics. I don't think that everyone who uses sex services is objectifying. Sex is a need like food. Sometimes we slow cook a meal for hours and really enjoy the process, while other times we just want to eat something quick to feel full. All of the modern leftist hoopla about objectification is unrealistic, mostly fueled by feminists who don't really understand men. Paying for sex has many different faces, it's not all one thing.
Anyway... to really answer your question you have to ask what sex means to you. Are you a sex addict? I mean, is it filling some void? Do you feel crazy if you don't have it? For example I'm someone with a high sex drive, but I can't do hookups. I need to be in a relationship or I don't feel safe, so I can go long, long periods - sometimes years - before I ever have sex, because that's how long it takes for me to end up with the right person. For me the sex drive and the "need" to have sex are two different things. My drive can be high but I don't necessarily have a strong urge to seek.
There are many ways to channel sexual energy into other things, but you are essentially asking about how to be celibate. The short answer is that you abstain and then adapt to your own abstention. You find other outlets, like physical exercise, the arts, hobbies, etc. But as sexual energy is tied to basic needs, you can't just dismiss it. It has to go somewhere. You're not asking about orgasm avoidance though, you're asking about how to live without sex with another person. There are plenty of ascetic people in the world who go without sexual contact for their entire lives. I think the longer you go without it, you just stop thinking about it, especially if you immerse yourself in other worlds. Our society is inundated by sexual imagery, constantly. If you minimize that, then you stop thinking about it as much.
Sex is a wonderful thing but life can also be wonderful without it, IMO. I think receiving touch is more important than the act of sex itself. I can't live without regular touch. If I go a long time without touch, I end up taking oxytocin and it calms my system down. When I was younger I used to confuse the need for touch with sex seeking, and I'm so glad I got those two different things sorted out.