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Fair Value - Summary of Carrying and Fair Value Information of Financial Instruments (Details) - USD ($) $ in Thousands | Mar. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
--- | --- | --- | ---
Assets |  |  |
Cash and due from banks | $ 1,086,444 | $ 458,153 |
Federal funds sold | 250 | 260 |
Held to maturity securities | 10,478,359 | 10,984,598 | $ 10,984,598
Loans held for sale | 6,380 | 5,734 |
Loans held for investment | 20,393,943 | 20,352,559 |
Other real estate owned | 2,204 | 1,708 |
Liabilities |  |  |
Noninterest-bearing | 9,526,535 | 9,776,572 |
Interest-bearing | 17,648,983 | 17,403,237 |
Other borrowings | 3,900,000 | 3,725,000 |
Securities sold under repurchase agreements | 261,671 | 309,277 |
Carrying Amount [Member] |  |  |
Assets |  |  |
Cash and due from banks | 1,086,444 | 458,153 |
Federal funds sold | 250 | 260 |
Held to maturity securities | 11,985,838 | 12,365,308 |
Loans held for sale | 6,380 | 5,734 |
Loans held for investment, net of allowance | 20,063,724 | 20,020,197 |
Loans held for investment | 864,924 | 822,245 |
Other real estate owned | 2,204 | 1,708 |
Liabilities |  |  |
Noninterest-bearing | 9,526,535 | 9,776,572 |
Interest-bearing | 17,648,983 | 17,403,237 |
Other borrowings | 3,900,000 | 3,725,000 |
Securities sold under repurchase agreements | 261,671 | 309,277 |
Estimated Fair Value [Member] |  |  |
Assets |  |  |
Cash and due from banks | 1,086,444 | 458,153 |
Federal funds sold | 250 | 260 |
Held to maturity securities | 10,478,359 | 10,984,598 |
Loans held for sale | 6,380 | 5,734 |
Loans held for investment, net of allowance | 18,465,513 | 18,321,054 |
Loans held for investment | 864,924 | 822,245 |
Other real estate owned | 2,204 | 1,708 |
Liabilities |  |  |
Noninterest-bearing | 9,526,535 | 9,776,572 |
Interest-bearing | 17,611,669 | 17,371,523 |
Other borrowings | 3,876,545 | 3,725,000 |
Securities sold under repurchase agreements | 261,621 | 309,245 |
Estimated Fair Value [Member] | Level 1 [Member] |  |  |
Assets |  |  |
Cash and due from banks | 1,086,444 | 458,153 |
Federal funds sold | 250 | 260 |
Estimated Fair Value [Member] | Level 2 [Member] |  |  |
Assets |  |  |
Held to maturity securities | 10,478,359 | 10,984,598 |
Loans held for sale | 6,380 | 5,734 |
Loans held for investment | 864,924 | 822,245 |
Other real estate owned | 2,204 | 1,708 |
Liabilities |  |  |
Noninterest-bearing | 9,526,535 | 9,776,572 |
Interest-bearing | 17,611,669 | 17,371,523 |
Other borrowings | 3,876,545 | 3,725,000 |
Securities sold under repurchase agreements | 261,621 | 309,245 |
Estimated Fair Value [Member] | Level 3 [Member] |  |  |
Assets |  |  |
Loans held for investment, net of allowance | $ 18,465,513 | $ 18,321,054 |

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