Your notes and lists are files, so closing Ambitus and opening it again doesn't affect them. That is often the first thing to try.
The task needs a due time. Check that alerts are allowed (Settings ▸ Tasks & Calendar ▸ Permissions), and that the device isn't on Do Not Disturb or another Focus.
The weather needs the internet. If Location isn't allowed, tap or click the weather box and search for a city.
Both devices must use the same folder (Settings ▸ Storage on each) and be signed in to iCloud Drive. Then it is iCloud's turn, so give it a moment. Opening the Files app can hurry it along.
Another device saved this note or list after you opened it. Use the Newer Version takes theirs. Keep My Version keeps what you see.
Close Ambitus and open it again. If it keeps coming up, choose the folder again in Settings ▸ Storage. Your notes aren't touched.
It may still be coming down from iCloud. Give it a moment and look again.
The note was probably changed on a device that still has an older version of Ambitus. Update Ambitus there, then use Version History to bring back the note as it was, or set Text Wrap again.
"Capture in Ambitus" needs the ready-made shortcut. Add it on the Siri and Apple Watch page in Help. On a locked iPhone it may not work in some cases, because of the device's own settings or other apps, which Ambitus can't change.
Siri may only show the result on the screen. To hear it, choose Settings ▸ Siri ▸ Siri Responses ▸ Prefer Spoken Responses on the iPhone.
Bring the iPhone near and open Ambitus on it. The watch shows how far each note has got. Check that Bluetooth is on, as Airplane Mode can switch it off.
The message ends with What happened, which says which step failed. Usually iCloud Drive is off, still setting up (on a new device or user this can take hours), or switched off for Ambitus.
Turn it on, or keep your notes and lists on this device or in a folder of your own: Settings ▸ Storage.
Quit Ambitus and open it again.
Quit waits while Settings or the welcome is open. Close it first (Done in Settings, the ⊗ in the welcome), then quit.
Close Ambitus and open it again. If the problem stays, write to support@ambitus.app.