Dear reddy_y-11,
I won't term it as cross-verification, however, to understand the clicks in Adobe Analytics, yes, you need to use Tracking Code. Make sure that every campaign has a unique Tracking Code so that you can understand the clicks of the campaigns separately.
Secondly, don't ever compare the clicks on Google Ads with Adobe Analytics Clicks, they won't match. To give you an example, assume I click an ad in the external domain, and before landing on my web page, I closed the browser or returned back. These cases can happen almost everytime time and during the case, Google will count the click for the ad however since my webpage is not loaded, Adobe Analytics will not count i.e. Didn't load.
Thank You, Pratheep Arun Raj B (Arun) | NextRow Digital | Terryn Winter Analytics