Spring JPA manager : don't flush the Session after an exception occurs

Question

I have simple code where I am adding into the tables and if one of the table entry fails to add the data into the table then delete the data from all the table.

Code :

@Component
public class Operation {

    ...

    public void execute(Long seqNumber) {

        try {
                addTable1(seqNumber);
                addTable2(seqNumber);
                addTable3(seqNumber);
            }
        } catch(Exception e) {
            deleteAllRecords(seqNumber);
        }
    }

    private void addTable1(Long seqNumber) throws Exception {
        Table1 data = new Table1();
        ...
        table1Repository.save(data);
    }

    private void addTable2(Long seqNumber) throws Exception {
        Table1 data = new Table1();
        ...
        table2Repository.save(data);
    }

    private void addTable3(Long seqNumber) throws Exception {
        Table1 data = new Table1();
        ...
        table3Repository.save(data);
    }

    private void deleteAllRecords(Long sequenceNumber) {
        table1Repository.deleteBySequenceNumber(sequenceNumber);
        table2Repository.deleteBySeqNum(sequenceNumber);
        table3Repository.deleteBySeqNum(sequenceNumber);
    }

    ...
}

So here, if the system fails to add the data into table3 then data from table1 and table2 also should be removed. However, I get the following error when the code goes to catch block and call deleteAllRecords(...):

org.springframework.dao.InvalidDataAccessApiUsageException: No EntityManager with actual transaction available for current thread - cannot reliably process 'remove' call; nested exception is javax.persistence.TransactionRequiredException: No EntityManager with actual transaction available for current thread - cannot reliably process 'remove' call

Questions :

1. Am I doing anything wrong?

2. How can I revert/delete the changes from different tables when I get an exception?

Any help would be appreciated.