Hi M S,
I have checked with your Adobe ID on forums and found that you have a Creative Cloud single-app membership for Photoshop plan registered under it, hence once you'll install the Creative Cloud app and sign in with your Adobe ID it will work as purchased subscription.
On the web site if you are not signed in or if you are signed in with a different Adobe ID then it will show you a Trial only.
Please click on the following link to download the Adobe Creative Cloud app: Download Adobe Creative Cloud apps | Free Adobe Creative Cloud trial
Once downloaded sign in with your Adobe ID and Password, go to APPS tab and click on INSTALL for Photoshop.
Let us know if this helps.
Regards,
Bani Saini