So I can only conclude that the scammers have hacked Dell's systems. So be warned if you place an order for hardware and receive a subsequent invoice for part of the order. Apparently this scam is rife at the moment.
Dell got hacked in 2018, where hackers "attempted" to extract customer info from the dell.com and support.dell.com sites (incl. the shop I guess). Before that, bogus Dell tech support scammers only tried to trick ppl into installing stuff or into providing cc details (on the phone, maybe even via email), afaik. It looks like Dell somewhat downplayed the hack, as they kept saying that there was no evidence that infos were actually stolen/extracted :
https://www.bleepingcomputer.com/news/security/dell-systems-hacked-to-steal-customer-information/
The thing is, they reset all passwords, back then.
What computer did you use to order your new laptop (the old laptop? your desktop?)?
Dell re-branded their Support Assist utility (formerly "Dell System Detect"?), which interacts with Dell's support webby (eg. it updates Dell drivers automatically, etc.). Due to a bug in older versions of the utility, hackers can take over that software on vulnerable computers and use it to upload malware/keyloggers/trojans on those systems:
"An unauthenticated attacker, sharing the network access layer with the vulnerable system, can compromise the vulnerable system by tricking a victim user into downloading and executing arbitrary executables via SupportAssist client from attacker hosted sites."
"In essence, the hackers use a variety of tricks to fool your system into thinking it's getting updates from Dell, when in fact, it's being fed poisoned files from a site controlled by hackers."
https://www.nxtgennetworks.com/2019/05/25/some-dell-systems-are-at-risk-of-new-hacks/
You should check (full malware/virus check) the computer you used for placing the order, and you should change your password(s) on their site. Uninstall Dell's update tool on all your Dell computers.
I also highly recommend to delete the credit card info on Dell.com (if you registered it with your Dell account, if it's possible to delete it, at all) and enter it manually everytime you order something on their site. Right now, you really don't know if the info got stolen on Dell's systems or if it got stolen on your system, imho. If the hackers would have extracted your bank/cc info from Dell's site, then your bank's name would have been correct in that bogus email, imho, a hacker would just need to copy/paste or even automate the process.
So, there could also be a keylogger or trojan involved, which scanned the store website you opened, some mouse/keyboard inputs or Dell's receipt/confirmation email ... stuff like that. I'd keep my eyes peeled there. (Not trying to plant silly ideas in your head, here, just trying to tell you that you should double check your equipment).