How to suppress "access denied" error messages when searching a directory?

[mastermach50]

In my situation I want to run rg -. --files | rg mach50 to find all the files with my username in their filename.
I am doing this from the root folder on windows (C:).

It does show me the files but there are a lot of Access is denied. (os error 5) errors in between the results.
eg:

./System Volume Information: Access is denied. (os error 5)
./Windows\WUModels: Access is denied. (os error 5)
./Windows\Temp: Access is denied. (os error 5)
./Windows\SystemTemp: Access is denied. (os error 5)
./Windows\SysWOW64\config: Access is denied. (os error 5)
./Windows\SysWOW64\Configuration: Access is denied. (os error 5)
./Windows\SysWOW64\Com\dmp: Access is denied. (os error 5)
./Windows\System32\ias: Access is denied. (os error 5)
./Windows\System32\networklist: Access is denied. (os error 5)
./Windows\System32\SleepStudy: Access is denied. (os error 5)
./Windows\System32\Tasks: Access is denied. (os error 5)
./Windows\System32\WDI: Access is denied. (os error 5)
./Windows\System32\WebThreatDefSvc: Access is denied. (os error 5)
./Windows\System32\wbem\MOF: Access is denied. (os error 5)
./Windows\System32\sru: Access is denied. (os error 5)
./Windows\System32\spool\SERVERS: Access is denied. (os error 5)
./Windows\System32\spool\PRINTERS: Access is denied. (os error 5)
./Windows\SysWOW64\Tasks: Access is denied. (os error 5)
./Windows\SysWOW64\sru: Access is denied. (os error 5)
./Windows\System32\MsDtc: Access is denied. (os error 5)
./Windows\SysWOW64\NetworkList: Access is denied. (os error 5)
./Windows\System32\LogFiles\Firewall: Access is denied. (os error 5)

Is there any was to suppress this error or ignore the folders which I do not have access to?

[BurntSushi]

The --no-messages flag should do the trick. (The same flag does about the same thing in GNU grep.)

[mastermach50]

Yes this works
rg -. --files --no-messages | rg mach50

Thanks