According to this, using outputs in a different job is not supported in Classic UI Format.
As workarounds in this scenario, you can share variables via Pipeline Variables(share variables across jobs in same pipeline) or Variable Groups(share variables across pipelines that use same Variable Group, it also works across jobs).
Since you only want to share variables across jobs in same pipeline, pipeline variable is enough for you.
1.You can set a key variable in pipeline variables:

2.Add one Powershell Inline task with content below in your first job:
$url = "$($env:SYSTEM_TEAMFOUNDATIONCOLLECTIONURI)$env:SYSTEM_TEAMPROJECTID/_apis/build/definitions/$($env:SYSTEM_DEFINITIONID)?api-version=5.0"
Write-Host "URL: $url"
$pipeline = Invoke-RestMethod -Uri $url -Headers @{
Authorization = "Bearer $env:SYSTEM_ACCESSTOKEN"
}
Write-Host "Pipeline = $($pipeline | ConvertTo-Json -Depth 100)"
# Update an existing variable to its new value
$pipeline.variables.key.value = "value"
####****************** update the modified object **************************
$json = @($pipeline) | ConvertTo-Json -Depth 99
$updatedef = Invoke-RestMethod -Uri $url -Method Put -Body $json -ContentType "application/json" -Headers @{Authorization = "Bearer $env:SYSTEM_ACCESSTOKEN"}
write-host "=========================================================="
Write-host "The value of Varialbe key is updated to" $updatedef.variables.key.value
write-host "=========================================================="
3.Run the pipeline we can find the value of key variable is successfully updated:

So you can run the ps script in first job to update the value of key variable, then all next jobs can access the updated variable easily.
Note:
- For the script itself, you only need to change lines
$pipeline.variables.key.value = "value"(necessary) and Write-host "The value of Varialbe key is updated to" $updatedef.variables.key.value(optional).
If I want to set the variable named MyTest to value MyValue, the lines should be $pipeline.variables.MyTest.value = "MyValue" and Write-host "The value of Varialbe MyTest is updated to" $updatedef.variables.MyTest.value.
- To make sure the ps task in one job can access
OAuth Token, we should Allow Scripts to Access OAuth Token. Click the agent job name and check the box:

- To enable the pipeline has the permission to update pipeline variable (edit build pipeline), go pipeline security to set the
Edit build pipeline allow for user xxx(ProjectName) build service.

Hope all above helps :)