How to pass build artifact into another job in Jenkins

Setup

I have two jobs in Jenkins:

build master - this builds the code and creates an artifact
deploy master - this deploys the artifact

Currently, deploy master has "Copy artifacts from another project" build step using "latest successful build".

My Goal

I want to change this step from "latest successful build" to "specified by a build parameter" so that I can select a specific build when deploying without modifying the configuration of deploy master job each time.

What I've tried

First, I changed to "specified by a build parameter".

Then I checked the box next to "This project is parameterized" and added a string parameter for BUILD_SELECTOR.

Then I selected build and enter the input 47 which is a build number from the build master job.

Additionally I tried the api call

$.ajax({
  type: 'POST',
  url: 'https://jenkins/job/deploy%20master/build?token=abc7f5abc0c45abcea0646ed858abcde&BUILD_SELECTOR=47'
});

Result

Both times it failed with the following output:

Started by user styfle
[EnvInject] - Loading node environment variables.
Building in workspace C:\Jenkins\jobs\deploy master\workspace
ERROR: Unable to find a build for artifact copy from: build master
Started calculate disk usage of build
Finished Calculation of disk usage of build in 0 seconds
Started calculate disk usage of workspace
Finished Calculation of disk usage of workspace in 0 seconds
Finished: FAILURE

Question

How do I configure this properly so I can specify a build number (or some other identifier) when deploying?

Update with solution

My solution thanks to Gerold's answer was to add a "Build selector for Copy Artifact" parameter and use a new environment variable to link to my string parameter I already added.

There is just one workspace per project/job in Jenkins. The directories of builds contain just information about the builds and their results.

The root directories of both are specified in Manage Jenkins → Configure System → Advanced....

To deploy an artifact of a previous build you have to copy it to somewhere else in build master and access it there from deploy master later.

UPDATE:

See the inline help for Which build → Parameter Name:

A parameter with this name should be added in the build parameters section above. There is a special parameter type for choosing the build selector.

Use this Build selector for Copy Artifact instead of a String Parameter.

Add following in downstream project. "Build selector for Copy Artifact" instead of a "String Parameter"