@dave_59's answer is correct, but for a relative SV newbie like me, it left some questions unanswered. Judging by the comments beneath @dave_59's answer, I was not alone.

1. A helpful white paper

This confusing topic (and its remarkably convoluted history) was clarified really well in this white paper: "Logic vs Wire in SV – some misconceptions", Mitu Raj, 2024. The author personally credits @dave_59 as the "living LRM" for correcting misconceptions about this topic all over the internet.

To paraphrase that white paper:

• In SystemVerilog 3.1 (2004), logic, reg and wire were all considered to be data types.
  • logic was an unresolved data type, meaning multiple drivers were forbidden.
• In SystemVerilog-2017 (IEEE Std 1800-2017), a new distinction was made between data types and data objects.
  • Data objects are divided into variables and nets.
    • Variable type data objects are declared using the optional keyword var.
    • Net type data objects are declared using a net type keyword (wire, wand, wor, etc).
  • All data objects (variables and nets) have a data type.
  • logic is a data type.
  • Therefore, both variables and nets can have type logic.

wire logic [3:0] data_0;  // data_0 is a net of type logic
var  logic [3:0] data_1;  // data_1 is a variable of type logic

So, we can answer the comment from @VidushiBajpai:

It is no longer true to say that logic is an unresolved data type. Since SystemVerilog-2017, it depends on the data object. Net type data objects (including those of data type logic) are resolved according to the resolution function of the net type (or unresolved in the case of uwire). Variables (including those of data type logic) cannot have multiple drivers (in VHDL terminology, they are unresolved).

2. logic and reg denote the same type

I checked the LRM (IEEE Std 1800-2017) and §6.11.2 confirms @dave_59's answer:

logic and reg denote the same type

Some more detail from §6.11:

3. Lexical restriction on reg

Regarding the comment by @HKOB, I see the same in the LRM (IEEE Std 1800-2017):

A net type keyword shall not be followed directly by the reg keyword.

...

The regreg keyword can be used in a net or port declaration if there are lexical elements between the net type keyword and the reg keyword.

I'm not sure why this restriction exists.