Is there anything in the Quran or Hadith in that making supplications during Hajj or Umrah have a higher chance of getting accepted?

Alhamdulillah, I will be going to Umrah in a couple weeks InshAllah. Before putting my deposit down and making the decision to go on Umrah, I was in a very bad state with depression and crippling anxiety due to certain problems I have in my life. I have always been told that supplications when performing the rituals of Umrah and Hajj have a much higher "likelihood" of getting accepted then supplications just made (for example) in your house. My question is are there any hadith narrated or anything in the Quran about this? Or is this just more of cultural belief? Please note, I am aware that not all duas are accepted, but I need to know where duas are the most powerful. I have been going through a rough period in life and have full faith in Allah SWT will remove my hardships, but I want to make sure my supplications are as meaningful as possible. Lastly, my decision to go to Umrah is not to just make duas in the most holy place on earth, but do please Allah so let just make that clear.