Hello, I'm Keith and happy to help you with your question.
There is no problem here. The first 30K of a redundancy payment is tax free. Here is HMRC advice on the subject as there can be odd sums added to the compensation payment which may bring the total up over 30K, albeit unlikely in your case. I must say HMRC couldn't make it more complicated if they tried, it is only when you read the example that the meaning becomes clear! The 'EIM' quotes are HMRC's published information sheets.
'Before the £30,000 threshold (see EIM13505) is applied, it is necessary to add together all the payments and benefits within Section 401 ITEPA 2003 that are made to, or in respect of, the same person in connection with:
The same office or employment and
Different offices or employments with the same employer and
Different offices or employments with associated employers (see EIM13540).
The threshold is then applied to the total. This ensures that only one £30,000 threshold is applied for that total.
For example, a director is dismissed from two separate employments with associated employers, receiving £25,000 in each case within Section 401 ITEPA 2003. The aggregated total received is £50,000 and only one £30,000 threshold is available against that total.'
As I said I don't think you have to concern yourself about HMRC's caveats, your redundancy payment will be tax free. As an Australian would say 'No worries, sport!'