Cloudflare to Sentinel

We use the MS Cloudflare connector (Function) and Cloudflare Logpush to Azure to onboard Cloudflare logs into Sentinel. Logs are being ingested into the storage account container without any issues. We restricted the storage account to Cloudflare IPs to make the storage account secure and meet compliance requirements. Immediately after the restriction was added, the function app stopped talking to the storage account and started throwing authentication errors. Whitelisting function IPs didn't make any difference. In our opinion, scaling the function app plan from consumer to premium and enabling Vnet integration will resolve the issue.  By default, the function is deployed via an arm template in a consumer plan. I would greatly appreciate any suggestions or thoughts you might have.