I used the network console of the browser.
There I see that the guest account gets an 403 access denied for the following:
{"value":[{"feature":"modernProject","accessType":"readOnly","licenseLevel":"basic","settings":{"criticalPath":false,"canOnlyEditAssigned":true,"differentDependencies":false,"canEdit":false},"category":"commercial"},{"feature":"roadmap","accessType":"readOnly","accessStatus":"none","category":"commercial"}]}<div>The group call in the home tenant works and the entitlements call returns the following<li-code lang="json">{"value":[{"feature":"projectOnline","accessType":"readWrite","category":"commercial"},{"feature":"roadmap","accessType":"readWrite","category":"commercial"},{"feature":"modernProject","accessType":"readWrite","licenseLevel":"professional","settings":{"criticalPath":true,"canOnlyEditAssigned":false,"differentDependencies":true,"canEdit":false},"category":"commercial"}]}<div>Checked the group setting and its not the culprit.<br /><a href="https://support.microsoft.com/en-gb/office/let-guests-see-your-project-in-project-for-the-web-81e1c210-74b2-4711-98ab-dea58f1b566b" target="_self">https://support.microsoft.com/en-gb/office/let-guests-see-your-project-in-project-for-the-web-81e1c210-74b2-4711-98ab-dea58f1b566b <blockquote><div><div><span><strong>Important: <span>Each item marked "Yes" in the table above will only work if a group administrator turns on the access setting <span><strong>Let guest group members access group content. <br /><span>To turn this off, go to <a title="https://admin.microsoft.com/" href="https://admin.microsoft.com/" target="_blank" rel="noreferrer noopener">admin.microsoft.com<span> > <span><strong>Org Settings<span> > <span><strong>Microsoft 365 Groups<span>.<div><div><li-image width="400" height="400" alt="TrutzStephani_1-1652111752711.png" align="inline" id="370224i1AB4CD99CA79E389" size="medium" resized="false" sourcetype="new"><p> </p></li-image></div></div></span></strong></span></span></strong></span></span></a></span></strong></span></span></strong></span></div></div></blockquote></a></div>