Add I understand the cat requires the proper stoichiometric ratio or it well be damaged by carbon deposits
It's not so much that it's damaged by carbon deposits, but that it needs the correct balance of oxygen, NOx and HC to work optimally.
If the mixture is lean, there is insufficient unburned fuel to neutralise the NOx. As a result, NOx emissions tend to be excessive.
If the mixture is rich, there is insufficient O2 and NOx to neutralise the CO and HC.
This is why in sniffer tests, the tail-pipe lambda is usually checked, and must be within strict parameters; one of the problems with exhaust leaks, deliberate or not, is that they allow air into the tail-pipe mixture which will result in tail-sniffers reading excessive high lambda, resulting in an emissions fail.
Catalytic converters store oxygen from reduction of NO, so short term imbalances are allowed; e.g. for when short-term over-rich mixtures are used, such as hard acceleration. However, catalyst efficiency is impaired if over-rich mixtures are used for more than a few seconds at a time. However, the very latest emissions standards are getting very difficult, which is why some manufacturers are trying to push towards stoich at WOT; this is a major engineering challenge, requiring solutions such as water-cooled exhaust manifolds built as part of the head.
This oxygen storage is how the OBD test works. The ECU repeatedly sets the mixture slightly lean and slightly rich, and watches that the post-cat mixtures remains stable, indicating that the cat is absorbing and releasing oxygen in response.