Change existing row ID based on AUTO_INCREMENT (unique key) - php

Question

I have a table that records tickets that are separated by a column that denotes the "database". I have a unique key on the database and cid columns so that it increments each database uniquely (cid has the AUTO_INCREMENT attribute to accomplish this). I increment id manually since I cannot make two AUTO_INCREMENT columns (and I'd rather the AUTO_INCREMENT take care of the more complicated task of the uniqueness).
This makes my data look like this basically:
-----------------------------
| id | cid | database |
-----------------------------
| 1 | 1 | 1 |
| 2 | 1 | 2 |
| 3 | 2 | 2 |
-----------------------------
This works perfectly well.
I am trying to make a feature that will allow a ticket to be "moved" to another database; frequently a user may enter the ticket in the wrong database. Instead of having to close the ticket and completely create a new one (copy/pasting all the data over), I'd like to make it easier for the user of course.
I want to be able to change the database and cid fields uniquely without having to tamper with the id field. I want to do an UPDATE (or the like) since there are foreign key constraints on other tables the link to the id field; this is why I don't simply do a REPLACE or DELETE then INSERT, as I don't want it to delete all of the other table data and then have to recreate it (log entries, transactions, appointments, etc.).
How can I get the next unique AUTO_INCREMENT value (based on the new database value), then use that to update the desired row?
For example, in the above dataset, I want to change the first record to go to "database #2". Whatever query I make needs to make the data change to this:
-----------------------------
| id | cid | database |
-----------------------------
| 1 | 3 | 2 |
| 2 | 1 | 2 |
| 3 | 2 | 2 |
-----------------------------
I'm not sure if the AUTO_INCREMENT needs to be incremented, as my understanding is that the unique key makes it just calculate the next appropriate value on the fly.

Answer 1

I actually ended up making it work once I re-read an except on using AUTO_INCREMENT on multiple columns.
For MyISAM and BDB tables you can specify AUTO_INCREMENT on a
secondary column in a multiple-column index. In this case, the
generated value for the AUTO_INCREMENT column is calculated as
MAX(auto_increment_column) + 1 WHERE prefix=given-prefix. This is
useful when you want to put data into ordered groups.
This was the clue I needed. I simply mimic'd the query MySQL runs internally according to that quote, and joined it into my UPDATE query as such. Assume $new_database is the database to move to, and $id is the current ticket id.
UPDATE `tickets` AS t1,
(
SELECT MAX(cid) + 1 AS new_cid
FROM `tickets`
WHERE database = {$new_database}
) AS t2
SET t1.cid = t2.new_cid,
t1.database = {$new_database}
WHERE t1.id = {$id}