How to fetch all the deployments completed after the given timestamp using Azure Devops REST Api?

Question

So there is List Release Deployments API. It allows to get all the deployments started after the given timestamp. However, how to get those completed after it?

Rationale

Suppose I want to write a scheduled job that fetches information about completed deployments and pushes it to an Azure Application Insights bucket (for example for DORA metrics). I do not understand how it can be done easily without the ability to filter by the completion date. A relatively hard way would be to fetch by the started date, notice all the deployments inProgress or notDeployed and record them in a dedicated database. Then on the next polling cycle fetch new deployments and all those still recorded in the aforementioned database. This is much more complicated than it could have been with the ability to filter by the completion date.

Am I missing anything here? Maybe there is a simpler way (possibly using another API) that I just do not see?

EDIT 1

By the way, the hard way is even harder than I thought, since apparently there is no way to fetch release deployments by their Id.

EDIT 2

The plot thickens. If a stage has post deployment approvals, then the stage is reported as inProgress, even though de facto it has already been deployed. So an API that just filters by completion date would omit such deployments. It has to be with an option to include such deployments.