aws event target didn't update custom json input

Question

Facing issue related to adding custom JSON input in aws event target as we know aws didnt allow to add event pattern with scheduled expression in event rule so we have to add custom Input in target event so in that case i was using github-action to update rule target with custom Input but didnt able to update Input Json job runs fine and didnt throw any error of syntax mismatch adding code and pic for ref here.

in github-action shell job

1- rule command

aws events put-rule --name "$JOB_NAME" --schedule-expression "$JOB_SCHEDULE"

2- target command that needs to pass custom input to lambda target

aws events put-targets --rule "$JOB_NAME" --targets "Id"="1","Arn"="$LAMBDA_ARN","Input"=`{"jobName":"event_lambda_trigger"}`

another command with a different input format

aws events put-targets --rule "$JOB_NAME" --targets "Id"="$JOB_NAME","Arn"="$LAMBDA_ARN","Input"={\"jobName\":\"$JOB_NAME\"}

I tried these commands and it make rule and target but didnt update target custom JSON input I want to make target send custom JSON Input to lambda trigger. used this method also link